Variables, values, variable expressions, unit analysis
Exponents, base, power, +,-,x,/, fraction review, ^ key on TI.
Grouping symbols, real life applications.
Order of operations, fraction bar.
Using TI calc, sto button.
Reals, positive, negative, integers, graphing, comparing with < or >.
Opposites, absolute value, velocity, speed, counterexamples.
Addition rules, properties , subtraction rules, properties, negative/subtraction keys on TI.
Multiplying and dividing reals.
Introduction to probability.
Equations and inequalities ("mental solutions")
Equation models for problem solving.
Tables,bar graphs,line graphs, functions (definition , domain/range.
Absolute value equations, terms, evaluating functions.
Multiplying alg exps, distributive property/ mental math, like terms.
Simple rationals.
Does the student understand the difference between simplifying an expression, evaluating an expression and solving an equation?
Compute using the four operations with and without a calculator (when appropriate).
Evaluate both numerical and variable expressions, with and without a calculator.
Graph and compare real numbers on the number line.
Evaluate absolute value expressions, with and without a calculator.
Simplify very introductory algebraic expressions involving distribution, adding/subtracting like terms and multiplying monomials.
Solve introductory ("one-step") equations and inequalities (including absolute value) using "mental math".
Represent real-life situations using algebraic expressions as models.
Representing real-world data in visual representations (bar graphs, etc).
Linear equation, solving with addition/subtraction.
Solving equations with multiplication, division or using reciprocals.
"2-step" equations, some requiring algebraic simplification first.
Solving equations requiring use of the distributive property.
Equations with variables on both sides, identities and empty solution sets.
Rounding decimals, decimal solutions, solving equations with decimal coefficients.
Formulas,function form of an equation.
Rates and unit rates.
Proportions and percent applications.
Is the student starting to gain an appreciation for the power of algebra?
Student will solve linear equations of increasing complexity (from simple one-operation equations to equations having the variable on both sides).
The student will solve equations with fractional and decimal coefficients.
The student will model real-world situations with linear equations, and use their solutions to solve these problems.
The student will apply rates, unit rates and percents in modeling real-world situations.
Written quizzes on:
Sections 3.1,3.2 and 3.3
Sections 3.4,3.5,3.6
Sections 3.7 and 3.8
Cumulative Test over Chapter 3
Chapter Four
(Fall Semester)
Plotting points in x-y plane.
Graphing linear equations (using t-charts), horizontal/ vertical lines.
Graphing linear equations using x- and y-intercepts.
Linear real-world models.
Slope of a line, and graphing a line given its slope and one fixed point.
Slope as rate of change, direct variations.
Writing direct variations, using ratios to model real-world situations.
Graphing linear equations using y=mx+b (slope-intercept form).
Parallel lines, real life problems.
Solving equations graphically (both by graphing both sides and by solving one side for zero).
Definition of relation and function, introduction to function notation.
Can the student graph the equation of a line??
The student will graph linear equations, hopefully using the most efficient method for the form of the equation given.
The student will recognize and describe both the slope and the equation of horizontal and vertical lines.
The student will recognize the equality of slopes of parallel lines.
The student will use the calculator to graph and interpret real-world models, and to solve equations graphically.
The student will identify the difference between relations and functions.
The student will evaluate expressions written using function notation.
The student will be able to model real world situations using slope, linear equations or direct variation.
Written quizzes on:
Sections 4.1,4.2,4.3
Sections 4.4,4.5,4.6
Sections 4.7,4.8
Cumulative Test on Chapter 4
Chapter Five
(Spring Semester)
Writing equation of a line given its slope and y-intercept.
Writing equation of a line given its slope and a fixed point.
Writing equations as models for real-world situations given rate of change and initial amount.
Writing equations of parallel lines.
Writing equations of a line given 2 fixed points.
Writing linear equations to model real-world situations given two data points.
Using TI scatterplotting and the "eyeball" method to find a line of good fit for a set of real-world (non-collinear) data.
Point-slope form of the equation of a line.
Standard form of the equation of a line.
Horizontal/vertical lines.
Real world models involving weighted quantities.
Interpolation/extrapolation.
Can the student write the equation of any line??
The student will write the equation of a line with a variety of sets of given information about the line (using hopefully the most efficient method).
The student recognizes and creates the slopes and the equations of lines that are parallel and perpendicular.
The student will create equations to model real-world situations.
The student will be able to change the representation of a linear equation from among slope-intercept, point-slope and standard forms.
The student will choose and create lines of good fit for a set of real-world data, and perform both interpolation and extrapolation with their line.
Written Quizzes on:
Sections 5.1,5.2,5.3
Sections 5.4,5.5
Sections 5.6,5.7
Cumulative test on Chapter 5.
Chapter Six
(Spring Semester)
Conceptual introduction to inequalities and their graphs.
Solving inequalities (one-step and multistep inequalities).
Writing inequalities as real-world models.
Definition of and writing compound inequalities.
Solving conjunctions ("and" inequalities).
Solving disjunctions ("or" inequalities).
Absolute value equations.
Absolute value inequalities.
Graphing linear inequalities (in two variables).
Does student understand the difference between an equation and an inequality?
Student will solve one-step and multi-step inequalities, and write inequalities to represent real-world situations.
Student can write and solve compound inequalities (conjunctions and disjunctions).
Student can write and solve absolute value equations and absolute value inequalities.
Student will graph and shade linear inequalities in two variables.
Quizzes on:
Sections 6.1,6.2,6.3
Sections 6.4,6.5
Cumulative Chapter Test on 6.1-6.5
Chapter 7
(Spring Semester)
Solving systems by graphing (on TI)- including some non-linear to increase their understanding of intrinsic calculator commands.
Solving systems by the substitution method.
Solving systems by the linear combination method.
Modeling with systems.
Choosing the best method for solving a particular system.
Systems with no solution or infinitely many solutions
Can the student identify the most convenient method for solving a system?
The student will be able to solve systems (including some nonlinear) using the graphing capabilities of the TI.
The student will be able to solve linear systems using the substitution method.
The student will be able to solve linear systems using the linear combinations method.
The student will be able to solve real-world applications using systems as mathematical models.
The student will be able to choose the best method for solving a particular system.
The student will be able to recognize and solve systems without a unique solution (and understand the geometric interpretation of these situations).
Quizzes on-
Sections 7-1,7-2,7-3
Sections 7-4,7-5
Chapter Test on Chapter 7.
Chapter 8
(Spring)
Exponent properties (product, power, quotient rules).
Zero and negztive exponents.
Shortcuts involved in simplifying algebraic exponential expressions.
Computing exponential values.
Scientific notation
Real world problems involving exponentials and scientific notation.
Does student understand the logic of zero and negative exponents?
The student will be able to simplify exponential expressions using the product, power and quotient rules for positive, zero and negative exponents.
The student will be able to evaluate numerical exponential expressions using the product, power and quotient rules for positive, zero and negztive exponents.
The student will be able to convert from decimal to scientific notation (and vice-versa).
The student will be able to solve real-world applications involving exponentials and scientific notation.
One Quiz/Test covering the sections covered from chapter 8.
Chapter 9
(spring)
Multiplying and simplifying radicals.
Adding, subtracting and dividing radicals
The student will be able to simplify radical expressions and perform all four operations with radical expressions.
The student will be able to approximate roots using a calculator.
Quiz on radicals.
Chapter 10
(spring)
Polynomial terminology
( classification by degree and by number of terms).
Adding and subtracting polynomial expressions.
Multiplying polynomial expressions.
Special products
( (A+B)(A-B) , (A+B)^2 ).
Solving equations already in factored form.
Factoring x^2+bx+c.
Factoring ax^2+bx+c.
Special product factoring (difference of squares).
Solving equations using factoring.
Solving equations using the quadratic formula.
Does the student understand the fundamental difference between simplifying, solving and factoring?
The student will be able to classify polynomials by degree and by number of terms.
The student will be able to add and subtract polynomial expressions.
The student will be able to multiply polynomial expressions.
The student will be able to simplify special products ( like (A+B)(A-B) , (A+B)^2 ).
The student will be able to solve equations already in factored form.
The student will be able to factor polynomials in the form x^2+bx+c.
The student will be able to factor polynomials in the form ax^2+bx+c.
The student will be able to factor the difference of square.
The student will be able to solve equations using factoring.
The student will be able to solve equations using the quadratic formula.
Quiz on 10.1,10.2,10.3
Quiz 10-4,5,6,7,8
Test CH 10 + Quad Formula
Table of Contents
Chapters One and Two
(Fall Semester)
Exponents, base, power, +,-,x,/, fraction review, ^ key on TI.
Grouping symbols, real life applications.
Order of operations, fraction bar.
Using TI calc, sto button.
Reals, positive, negative, integers, graphing, comparing with < or >.
Opposites, absolute value, velocity, speed, counterexamples.
Addition rules, properties , subtraction rules, properties, negative/subtraction keys on TI.
Multiplying and dividing reals.
Introduction to probability.
Equations and inequalities ("mental solutions")
Equation models for problem solving.
Tables,bar graphs,line graphs, functions (definition , domain/range.
Absolute value equations, terms, evaluating functions.
Multiplying alg exps, distributive property/ mental math, like terms.
Simple rationals.
Evaluate both numerical and variable expressions, with and without a calculator.
Graph and compare real numbers on the number line.
Evaluate absolute value expressions, with and without a calculator.
Simplify very introductory algebraic expressions involving distribution, adding/subtracting like terms and multiplying monomials.
Solve introductory ("one-step") equations and inequalities (including absolute value) using "mental math".
Represent real-life situations using algebraic expressions as models.
Representing real-world data in visual representations (bar graphs, etc).
Sections 1.1,1.2,1.3
Sections 2.1,2.2,2.3,2.5,2.7,2.8
Test, Chapter 1
Test, Chapter 2
Chapter Three
(Fall Semester)Solving equations with multiplication, division or using reciprocals.
"2-step" equations, some requiring algebraic simplification first.
Solving equations requiring use of the distributive property.
Equations with variables on both sides, identities and empty solution sets.
Rounding decimals, decimal solutions, solving equations with decimal coefficients.
Formulas,function form of an equation.
Rates and unit rates.
Proportions and percent applications.
The student will solve equations with fractional and decimal coefficients.
The student will model real-world situations with linear equations, and use their solutions to solve these problems.
The student will apply rates, unit rates and percents in modeling real-world situations.
Sections 3.1,3.2 and 3.3
Sections 3.4,3.5,3.6
Sections 3.7 and 3.8
Cumulative Test over Chapter 3
Chapter Four
(Fall Semester)Graphing linear equations (using t-charts), horizontal/ vertical lines.
Graphing linear equations using x- and y-intercepts.
Linear real-world models.
Slope of a line, and graphing a line given its slope and one fixed point.
Slope as rate of change, direct variations.
Writing direct variations, using ratios to model real-world situations.
Graphing linear equations using y=mx+b (slope-intercept form).
Parallel lines, real life problems.
Solving equations graphically (both by graphing both sides and by solving one side for zero).
Definition of relation and function, introduction to function notation.
The student will recognize and describe both the slope and the equation of horizontal and vertical lines.
The student will recognize the equality of slopes of parallel lines.
The student will use the calculator to graph and interpret real-world models, and to solve equations graphically.
The student will identify the difference between relations and functions.
The student will evaluate expressions written using function notation.
The student will be able to model real world situations using slope, linear equations or direct variation.
Sections 4.1,4.2,4.3
Sections 4.4,4.5,4.6
Sections 4.7,4.8
Cumulative Test on Chapter 4
Chapter Five
(Spring Semester)Writing equation of a line given its slope and a fixed point.
Writing equations as models for real-world situations given rate of change and initial amount.
Writing equations of parallel lines.
Writing equations of a line given 2 fixed points.
Writing linear equations to model real-world situations given two data points.
Using TI scatterplotting and the "eyeball" method to find a line of good fit for a set of real-world (non-collinear) data.
Point-slope form of the equation of a line.
Standard form of the equation of a line.
Horizontal/vertical lines.
Real world models involving weighted quantities.
Interpolation/extrapolation.
The student recognizes and creates the slopes and the equations of lines that are parallel and perpendicular.
The student will create equations to model real-world situations.
The student will be able to change the representation of a linear equation from among slope-intercept, point-slope and standard forms.
The student will choose and create lines of good fit for a set of real-world data, and perform both interpolation and extrapolation with their line.
Sections 5.1,5.2,5.3
Sections 5.4,5.5
Sections 5.6,5.7
Cumulative test on Chapter 5.
Chapter Six
(Spring Semester)
Solving inequalities (one-step and multistep inequalities).
Writing inequalities as real-world models.
Definition of and writing compound inequalities.
Solving conjunctions ("and" inequalities).
Solving disjunctions ("or" inequalities).
Absolute value equations.
Absolute value inequalities.
Graphing linear inequalities (in two variables).
Student can write and solve compound inequalities (conjunctions and disjunctions).
Student can write and solve absolute value equations and absolute value inequalities.
Student will graph and shade linear inequalities in two variables.
Sections 6.1,6.2,6.3
Sections 6.4,6.5
Cumulative Chapter Test on 6.1-6.5
Chapter 7
(Spring Semester)
Solving systems by the substitution method.
Solving systems by the linear combination method.
Modeling with systems.
Choosing the best method for solving a particular system.
Systems with no solution or infinitely many solutions
The student will be able to solve linear systems using the substitution method.
The student will be able to solve linear systems using the linear combinations method.
The student will be able to solve real-world applications using systems as mathematical models.
The student will be able to choose the best method for solving a particular system.
The student will be able to recognize and solve systems without a unique solution (and understand the geometric interpretation of these situations).
Sections 7-1,7-2,7-3
Sections 7-4,7-5
Chapter Test on Chapter 7.
Chapter 8
(Spring)Zero and negztive exponents.
Shortcuts involved in simplifying algebraic exponential expressions.
Computing exponential values.
Scientific notation
Real world problems involving exponentials and scientific notation.
The student will be able to evaluate numerical exponential expressions using the product, power and quotient rules for positive, zero and negztive exponents.
The student will be able to convert from decimal to scientific notation (and vice-versa).
The student will be able to solve real-world applications involving exponentials and scientific notation.
Chapter 9
(spring)
Adding, subtracting and dividing radicals
The student will be able to approximate roots using a calculator.
Chapter 10
(spring)
( classification by degree and by number of terms).
Adding and subtracting polynomial expressions.
Multiplying polynomial expressions.
Special products
( (A+B)(A-B) , (A+B)^2 ).
Solving equations already in factored form.
Factoring x^2+bx+c.
Factoring ax^2+bx+c.
Special product factoring (difference of squares).
Solving equations using factoring.
Solving equations using the quadratic formula.
The student will be able to add and subtract polynomial expressions.
The student will be able to multiply polynomial expressions.
The student will be able to simplify special products ( like (A+B)(A-B) , (A+B)^2 ).
The student will be able to solve equations already in factored form.
The student will be able to factor polynomials in the form x^2+bx+c.
The student will be able to factor polynomials in the form ax^2+bx+c.
The student will be able to factor the difference of square.
The student will be able to solve equations using factoring.
The student will be able to solve equations using the quadratic formula.
Quiz 10-4,5,6,7,8
Test CH 10 + Quad Formula